2 590 589 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1141939536822650731153	22	70.0	2009-02-23 05:34:16
562155466496408446387782473	27	88.9	2024-04-07 06:29:22

ECM

Digits	B1	Curves
25	50000	99 / 280

Estimated T-Level: 21.8 ⓘ

TF below 2^67 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		John Bafford	7DDC9B68807FF13E	0
Verified (Factored)	1999-07-12	Wayne Yeung	7DDC9B68807FF13E	2457093

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-15	Oliver Kruse	FD869CF4A58E691F	1	2502855	5	3
Verified (Factored)	2017-12-02	kkmrkkblmbrbk	FD869CF4A58E691F	1	2144996	5	3
Verified	2024-04-07	Anton Tsvetkov	FD869CF4A58E691F	2	628737	5	3

History

Date	User	Type	Result
2024-04-07	Jonathan Webb	CERT	PRP Certification Proof certified good
2024-04-07	Anton Tsvetkov	C-PRP	M2590589/1141939536822650731153/562155466496408446387782473 : FD869CF4A58E691F PRP proof power = 7 PRP: Verified Proof certified good
2024-04-07	debrouxl	F-ECM	Factor: 562155466496408446387782473 / (ECM curve 8, B1=50000, B2=7000000, Sigma=144797140143157)
2023-01-25	USAFSS	NF-PM1	B1=234000, B2=252549990
2022-03-11	LordJulius	NF	no factor from 2^1 to 2^60
2017-12-02	kkmrkkblmbrbk	C-PRP	M2590589/1141939536822650731153 : FD869CF4A58E691F PRP: Verified (Factored) PRP without proof (not generated)
2017-10-15	Oliver Kruse	C-PRP	M2590589/1141939536822650731153 : FD869CF4A58E691F PRP: Verified (Factored) PRP without proof (not generated)
2009-02-23	Never Odd Or Even	F-ECM	Factor: 1141939536822650731153
2009-02-01	Sturle Sunde	NF	no factor from 2^60 to 2^61